Algebra 1 Semester 1 Review

Front

What is the formula to calculate the total height of a building with n floors and an antenna on the roof?

Back

h(n) = 3.9n + 15.85, where 3.9 is the height of each floor and 15.85 is the height of the antenna.

Front

What does the inequality 7x - 2y > 8 represent in terms of a linear function?

Back

It represents a region above the line 7x - 2y = 8 in the coordinate plane.

Front

How do you calculate the total charge for a painter who charges $35 per hour plus a $40 ladder rental?

Back

Total charge = (Hourly rate * Hours worked) + Ladder rental. For example, if total charge is $950, then 950 = 35h + 40.

Front

What is the domain of a function?

Back

The domain is the set of all possible input values (x-values) for which the function is defined.

Front

If y = -4/5x - 2, how do you find the value of x when y = -9?

Back

Substitute -9 for y: -9 = -4/5x - 2, then solve for x.

Front

What is a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you determine if a relation is a function?

Back

A relation is a function if each input has exactly one output.

Front

What is the significance of the y-intercept in a linear function?

Back

The y-intercept is the point where the line crosses the y-axis, representing the output when x = 0.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as x increases, the value of f(x) also increases.